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Finding the Third Proportional to 209,898 and 450,900

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Solution

The third proportional to 209,898 and 450,900 is: 968,617.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,898 : 450,900 = 450,900 : x
  2. Step 2: Convert to fraction form
    209,898/450,900 = 450,900/x
  3. Step 3: Cross multiply
    209,898x = 450,900 × 450,900
  4. Step 4: Simplify right side
    209,898x = 203,310,810,000
  5. Step 5: Solve for x
    x = 203,310,810,000/209,898
  6. Step 6: Final answer
    x = 968,617.19

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.